Kenichi Shimizu

collaborators

3 papers

math.QA2026

Ribbon categories from ind-exact algebras: simple current case

Kenichi Shimizu, Harshit Yadav

We give criteria for when finitely generated local modules over a commutative algebra $A$ in the ind-completion $C$ of a braided tensor category $C$ i…

math.QA2025

Equivariant Eilenberg-Watts theorem for module coalgebras

Taiki Shibata, Kenichi Shimizu

For coalgebras $C$ and $D$ , Takeuchi proved that the category of linear functors from $M^{C}$ to $M^{D}$ preserving small coproducts is equivalent to the category…

math.QA2025

Exact module categories over $Rep (u_{q} (sl_{2}))$

Daisuke Nakamura, Taiki Shibata, Kenichi Shimizu

We give a complete list of indecomposable exact module categories over the finite tensor category $Rep (u_{q} (sl_{2}))$ of representations of the small quantum group…

Ribbon categories from ind-exact algebras: simple current case

Equivariant Eilenberg-Watts theorem for module coalgebras

Exact module categories over Rep(uq​(sl2​))

Exact module categories over $Rep (u_{q} (sl_{2}))$